Hollow shaft AB (4" outside diameter, 3.5" inside diameter) is made of aluminum (E=10x106 psi, G=3.8x106psi) and is fixed at A and attached to a rigid plate at B. One end of the rigid plate is attached to a magnesium rod (a = 14.5 x 10-6 in/in/°F and E=6.5x106 psi) with cross-sectional area A=1.0 in² and length l=12" at point C. If the temperature of the magnesium rod is reduced by 100°F, find the maximum shear stress on the outside surface of the shaft AB.

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Hollow shaft AB (4" outside diameter, 3.5" inside diameter) is made of aluminum
(E=10x106 psi, G=3.8x106psi) and is fixed at A and attached to a rigid plate at B. One end of
the rigid plate is attached to a magnesium rod (a = 14.5 x 10-6 in/in/°F and E=6.5x106 psi)
with cross-sectional area A=1.0 in² and length l=12" at point C. If the temperature of the
magnesium rod is reduced by 100°F, find the maximum shear stress on the outside surface
of the shaft AB.
A
36"
B
24"
Transcribed Image Text:Hollow shaft AB (4" outside diameter, 3.5" inside diameter) is made of aluminum (E=10x106 psi, G=3.8x106psi) and is fixed at A and attached to a rigid plate at B. One end of the rigid plate is attached to a magnesium rod (a = 14.5 x 10-6 in/in/°F and E=6.5x106 psi) with cross-sectional area A=1.0 in² and length l=12" at point C. If the temperature of the magnesium rod is reduced by 100°F, find the maximum shear stress on the outside surface of the shaft AB. A 36" B 24"
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